{
  "id": "hep-lat/0507013",
  "version": "v2",
  "published": "2005-07-13T14:23:11.000Z",
  "updated": "2005-09-16T13:00:46.000Z",
  "title": "The Upsilon spectrum and m_b from full lattice QCD",
  "authors": [
    "A. Gray",
    "I. Allison",
    "C. T. H. Davies",
    "E. Gulez",
    "G. P. Lepage",
    "J. Shigemitsu",
    "M. Wingate"
  ],
  "comment": "24 pages, 19 figures. Version to be published. Minor changes made and typographical errors corrected. Experimental leptonic widths updated in section 8",
  "journal": "Phys.Rev.D72:094507,2005",
  "doi": "10.1103/PhysRevD.72.094507",
  "categories": [
    "hep-lat",
    "hep-ph"
  ],
  "abstract": "We show results for the Upsilon spectrum calculated in lattice QCD including for the first time vacuum polarization effects for light u and d quarks as well as s quarks. We use gluon field configurations generated by the MILC collaboration. The calculations compare the results for a variety of u and d quark masses, as well as making a comparison to quenched results (in which quark vacuum polarisation is ignored) and results with only u and d quarks. The b quarks in the Upsilon are treated in lattice Nonrelativistic QCD through NLO in an expansion in the velocity of the b quark. We concentrate on accurate results for orbital and radial splittings where we see clear agreement with experiment once u, d and s quark vacuum polarisation effects are included. This now allows a consistent determination of the parameters of QCD. We demonstrate this consistency through the agreement of the Upsilon and B spectrum using the same lattice bare b quark mass. A one-loop matching to continuum QCD gives a value for the b quark mass in full lattice QCD for the first time. We obtain m_b^{\\bar{MS}}(m_b^{\\bar{MS}}) = 4.4(3) GeV. We are able to give physical results for the heavy quark potential parameters, r_0 = 0.469(7) fm and r_1 = 0.321(5) fm. Results for the fine structure in the spectrum and the Upsilon leptonic width are also presented. We predict the Upsilon - eta_b splitting to be 61(14) MeV, the Upsilon^{\\prime} - eta_b^{\\prime} splitting as 30(19) MeV and the splitting between the h_b and the spin-average of the chi_b states to be less than 6 MeV. Improvements to these calculations that will be made in the near future are discussed.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-09-16T13:00:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12.38.Gc"
    ],
    "keywords": [
      "full lattice qcd",
      "upsilon spectrum",
      "quark vacuum polarisation",
      "first time vacuum polarization effects",
      "heavy quark potential parameters"
    ],
    "tags": [
      "journal article",
      "famous paper"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. D"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 687353
    }
  }
}